The following pie-chart shows the percentage distribution of the expenditure…
2025
The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a book. Study the pie-chart and answer the questions based on it. Various Expenditures (in percentage) Incurred in Publishing a Book
Royalty on the book is less than the printing cost by:
- A.
5%
- B.
33 1/3%
- C.
20%
- D.
25%
Attempted by 1 students.
Show answer & explanation
Correct answer: D
Concept: When two quantities are percentage shares of the same whole, "A is less than B by x%" means x% of B, i.e. x = ((B - A) / B) x 100, where B is the reference value being compared against -- not simply the raw point-difference (B - A).
Application:
From the pie-chart: Printing Cost = 20% of total expenditure and Royalty = 15% of total expenditure.
Percentage-point gap = 20% - 15% = 5 percentage points.
Express this gap as a percentage of printing cost, the value being compared against: (5 / 20) x 100 = 25%.
Cross-check: Reduce printing cost's 20% share by 25% of itself: 20% - (25% of 20%) = 20% - 5% = 15%, which matches royalty's actual share -- confirming the answer.
So, Royalty is less than Printing Cost by 25%.